Data.Array.Accelerate.Math.Complex

Documentation

data Complex a

Constructors

!a :+ !a

Instances

Typeable1 Complex

(Lift Exp a, Elt (Plain a)) => Lift Exp (Complex a)

Elt a => Unlift Exp (Complex (Exp a))

(RealFloat a, Unbox a) => Vector Vector (Complex a)

(RealFloat a, Unbox a) => MVector MVector (Complex a)

Eq a => Eq (Complex a)

(Elt a, IsFloating a, RealFloat a) => Floating (Exp (Complex a))

RealFloat a => Floating (Complex a)

(Elt a, IsFloating a) => Fractional (Exp (Complex a))

RealFloat a => Fractional (Complex a)

Data a => Data (Complex a)

(Elt a, IsFloating a) => Num (Exp (Complex a))

RealFloat a => Num (Complex a)

Read a => Read (Complex a)

Show a => Show (Complex a)

IsTuple (Complex a)

Elt a => Elt (Complex a)

(RealFloat a, Unbox a) => Unbox (Complex a)

magnitude :: (Elt a, IsFloating a) => Exp (Complex a) -> Exp a

Non-negative magnitude of a complex number

phase :: (Elt a, IsFloating a) => Exp (Complex a) -> Exp a

The phase of a complex number, in the range (-pi, pi]. If the magnitude is zero, then so is the phase.

real :: Elt a => Exp (Complex a) -> Exp a

Return the real part of a complex number

imag :: Elt a => Exp (Complex a) -> Exp a

Return the imaginary part of a complex number

conj :: (Elt a, IsNum a) => Exp (Complex a) -> Exp (Complex a)

Return the complex conjugate of a complex number, defined as

 conj(Z) = X - iY